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101030640 = 24356167103
BaseRepresentation
bin1100000010110…
…01101011110000
321001002212222120
412001121223300
5201330440030
614005234240
72334513654
oct601315360
9231085876
10101030640
11520358a7
1229a02980
1317c14959
14d5bca64
158d0a010
hex6059af0

101030640 has 160 divisors (see below), whose sum is σ = 326217216. Its totient is φ = 25850880.

The previous prime is 101030639. The next prime is 101030647. The reversal of 101030640 is 46030101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101030647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 980829 + ... + 980931.

Almost surely, 2101030640 is an apocalyptic number.

101030640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101030640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163108608).

101030640 is an abundant number, since it is smaller than the sum of its proper divisors (225186576).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101030640 is a wasteful number, since it uses less digits than its factorization.

101030640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 101030640 is about 10051.3999025011. The cubic root of 101030640 is about 465.7480386829.

101030640 divided by its sum of digits (15) gives a palindrome (6735376).

Adding to 101030640 its reverse (46030101), we get a palindrome (147060741).

The spelling of 101030640 in words is "one hundred one million, thirty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 61 67 80 103 120 122 134 183 201 206 240 244 268 305 309 335 366 402 412 488 515 536 610 618 670 732 804 824 915 976 1005 1030 1072 1220 1236 1340 1464 1545 1608 1648 1830 2010 2060 2440 2472 2680 2928 3090 3216 3660 4020 4087 4120 4880 4944 5360 6180 6283 6901 7320 8040 8174 8240 12261 12360 12566 13802 14640 16080 16348 18849 20435 20703 24522 24720 25132 27604 31415 32696 34505 37698 40870 41406 49044 50264 55208 61305 62830 65392 69010 75396 81740 82812 94245 98088 100528 103515 110416 122610 125660 138020 150792 163480 165624 188490 196176 207030 245220 251320 276040 301584 326960 331248 376980 414060 420961 490440 502640 552080 753960 828120 841922 980880 1262883 1507920 1656240 1683844 2104805 2525766 3367688 4209610 5051532 6314415 6735376 8419220 10103064 12628830 16838440 20206128 25257660 33676880 50515320 101030640